I started off my game using an orthographic camera to follow a spaceship traversing some 3D geometry. It was disorienting but it looked cool! I think the core problem was having the camera rotate and follow a moving target as the same time. It started to get difficult to make sense of what you’re seeing!

https://dl.dropboxusercontent.com/u/1937558/LudumDare/28/webplayer/webplayer.html
Lesson learned:
If you want to use an orthographic camera in your 3D game be careful with camera rotations. You’d do well to ensure that any camera rotations are around a point of interest and that the point of interest is not moving whilst the camera is rotating.
Eventually I decided I didn’t need an orthographic camera to look cool…

https://dl.dropboxusercontent.com/u/1937558/LudumDare/28/jam/Build.html